Today’s New Shepard flight is discussed in another thread that includes more detail on the flight profile, G-forces, etc.
So Blue Origin’s flight is much faster, goes much higher, etc. compared to Branson’s more gentle SpaceShipTwo. The key difference is how many G’s the passenger’s experience.
An analogy: If you hit the gas as hard as you can when the light turns green, you’ll reach maybe 40 mph then arrive at the next red light one block away very quickly. But then you’ll need to slam on the brakes. This is a lot rougher on your passengers, compared to the limo that smoothly accelerates, reaches a stately 25 mph then smoothly brakes, arriving fully 10-15 seconds slower than you (you speed demon!).